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Fill in the blanks in the following tabl...

Fill in the blanks in the following table, given that a is the first term, d the common difference and `a_(n)` `n^(th)` term of the AP :

Text Solution

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The correct Answer is:
(i) `a_n = 28`.
(ii) `d = (18)/(9) = 12`
(iii) `a= -5 +51 = 46`.
(iv) `3.6 =- 18.9 + 2.5 n - 2.5`
(v) `=3.5 + 0 = 3.5= 3.5`.
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Fill in the blanks in the following table , given that a is the first term, d the common difference and a_(n) the nth term of the A.P: (i) a=7, d=3, n=8, a_(n)=? (ii) a= - 18, n=10, a_(n)=0, d=? 0= -18+(10-1) d rArr 10d-d=18 9d=18 rArr d=(18)/(9)=2 d=2 (iii) a=? , d= -3, n=18, a_(n)= - 5 (iv) a= -18.9, d=2.5, n=?, a_(n)=3.6

Fill in the blanks in the following , given that a is the first term, d the common difference and a_n the nth term of the A.P.

Knowledge Check

  • The first n^(th) term of a AP is given by

    A
    `a_(n) = a+ nd`
    B
    `a_(n) = a+ (n-1) d`
    C
    `a_(n) = a- (n-1) d`
    D
    `a_(n) = 2a + (n-1) d`

  • In ( m+1) th, ( n + 1) th, ( r + 1) th terms of an A.P. are in G.P. and m,n,r are in H.P., then ratio of the first term of the A.P. to its common difference interms of n is :

    A
    `( n )/( 2)`
    B
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    C
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    D
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  • In an AP, the seventh term is 4 and the common difference is -4. Which is the first term?

    A
    18
    B
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